On the nonvanishing of abstract Cauchy-Riemann cohomology groups

DOI10.1007/s00208-015-1298-5zbMath1391.32055arXiv1509.04461OpenAlexW2964326103MaRDI QIDQ303634

Mauro Nacinovich, Judith Brinkschulte, Clyde Denson Hill

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04461

zbMATH Keywords

CR manifoldsCR cohomology groups

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20)

Related Items (3)

Non locally trivializable CR line bundles over compact Lorentzian CR manifolds ⋮ Weak \(q\)-concavity conditions for CR manifolds ⋮ On the boundary complex of the \(k\)-Cauchy-Fueter complex

Cites Work

• Non completely solvable systems of complex first order PDE's
• The topology of Stein CR manifolds and the Lefschetz theorem
• An example of a smooth linear partial differential equation without solution
• Differential operators of principal type
• Local exactness of top-degree forms in abstract Cauchy-Riemann complexes
• Malgrange's vanishing theorem for weakly pseudoconcave CR manifolds
• On the failure of the Poincaré Lemma for \(\overline\partial_M\). II
• Obstructions to finite dimensional cohomology of abstract Cauchy-Riemann complexes
• The Poincare lemma and local embeddability
• Differential equations without solutions
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